The (ð^'/ð)-Expansion and Homotopy Perturbation Methods for Solving Nonlinear Singular Integral Equation of Heat Radiation in a Semi-Infinite Solid

Abstract

In this article, we aim to handle some nonlinear singular integral equation by utilizing the (ð^'/ð)-expansion and homotopy perturbation methods (HPM) . The techniques of the powerful methods implemented to handling the nonlinear singular integral equation of heat radiation in a semi-infinite solid. It has been shown that the methods are straightforward and an effective tool for solving nonlinear singular integral equation of heat radiation in a semi-infinite solid that occur in applied mathematics, mathematical physics.